Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal
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| Format: | Artículo científico |
| Langue: | en |
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Universidad Nacional Autónoma de México
2014
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| _version_ | 1876441037006700544 |
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| author | Jenq-Der Chen |
| author_facet | Jenq-Der Chen |
| contents | Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal Jenq-Der Chen I-Te Wu Chang-Hua Lien Chin-Tan Lee Ruey-Shin Chen Ker-Wei Yu Ingeniería interval time interval time interval time interval time interval time This paper deals with the switching signal design to robust exponential stability for uncertain discrete-time switched systems with interval time-varying delay. The lower and upper bounds of the time-varying delay are assumed to be known. By construction of a new Lyapunov-Krasovskii functional and employing linear matrix inequality, some novel sufficient conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. In addition, some nonnegative inequalities are used to provide additional degrees of freedom and reduce the conservativeness of systems. Finally, some numerical examples are given to illustrate performance of the proposed design methods. 2014 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47432794017 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.6 Vol.12 |
| format | Artículo científico |
| id | redalyc_47432794017 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal Jenq-Der Chen Ingeniería interval time interval time interval time interval time interval time Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal Jenq-Der Chen I-Te Wu Chang-Hua Lien Chin-Tan Lee Ruey-Shin Chen Ker-Wei Yu Ingeniería interval time interval time interval time interval time interval time This paper deals with the switching signal design to robust exponential stability for uncertain discrete-time switched systems with interval time-varying delay. The lower and upper bounds of the time-varying delay are assumed to be known. By construction of a new Lyapunov-Krasovskii functional and employing linear matrix inequality, some novel sufficient conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. In addition, some nonnegative inequalities are used to provide additional degrees of freedom and reduce the conservativeness of systems. Finally, some numerical examples are given to illustrate performance of the proposed design methods. 2014 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47432794017 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.6 Vol.12 |
| title | Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay through a Switching Signal |
| topic | Ingeniería interval time interval time interval time interval time interval time |
| url | https://www.redalyc.org/articulo.oa?id=47432794017 |